A SINGLE-DOMAIN BOUNDARY ELEMENT METHOD FOR 3-D ELASTOSTATIC CRACK ANALYSIS USING CONTINUOUS ELEMENTS

DOI<1265::AID-NME902>3.0.CO;2-N 10.1002/(SICI)1097-0207(19960430)39:8<1265::AID-NME902>3.0.CO;2-NzbMath0894.73207OpenAlexW2001833770MaRDI QIDQ4360558

No author found.

Publication date: 19 August 1998

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19960430)39:8<1265::aid-nme902>3.0.co;2-n

zbMATH Keywords

polar coordinatesthree-dimensional fracturetraction boundary integral equationmixed-mode crack problemssource pointHadamard principal values of hypersingular integralshypersingular boundary integro-differential equation

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Fracture and damage (74R99)

Related Items (17)

Unnamed Item ⋮ Dynamic BE analysis of 3-D cracks in transversely isotropic solids ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dynamic element discretization method for solving 2D traction boundary integral equations ⋮ Probabilistic fracture mechanics by the boundary element method ⋮ An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis ⋮ A simple local smoothing scheme in strongly singular boundary integral representation of potential gradient ⋮ Unnamed Item ⋮ Direct evaluation of boundary stresses in the 3D BEM of elastostatics ⋮ Wave propagation in the presence of empty cracks in an elastic medium ⋮ Symmetric weak-form integral equation method for three-dimensional fracture analysis ⋮ Definitions, properties and applications of finite-part integrals ⋮ A remeshing algorithm for three-dimensional crack growth and intersection with surfaces or cracks in non-coplanar planes ⋮ A direct traction BIE approach for three-dimensional crack problems ⋮ Comparison of the basic and the discontinuity formulation of the 3D dual boundary element method ⋮ Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new formula for the \(C\)-matrix in the Somigliana identity
• Numerical solutions in three dimensional elastostatics
• Boundary Integral Formulation of Crack Problems
• Boundary elements for three-dimensional elastic crack analysis
• The dual boundary element method: Effective implementation for crack problems
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Three-dimensional fracture simulation with a single-domain, direct boundary element formulation
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• On the non‐singular traction‐BIE in elasticity

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